Weighted weak $(1,1)$ estimate for non-commutative square function

Published 1 Oct 2024 in math.FA, math.CA, and math.OA | (2410.00987v3)

Abstract: In this article, we consider weighted weak type $(1,1)$ inequality for certain square function associated to differences of ball averages and martingale in the non-commutative setting. This establishes a weighted version of main result of \cite{hong2021noncommutative}.

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